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Mathematics > Analysis of PDEs

Title: Choquard equations with critical exponential nonlinearities in the zero mass case

Authors: Giulio Romani
Abstract: We investigate Choquard equations in $\mathbb R^N$ driven by a weighted $N$-Laplace operator and with polynomial kernel and zero mass. Since the setting is limiting for the Sobolev embedding, we work with nonlinearities which may grow up to the critical exponential. We establish existence of a positive solution by variational methods, completing the analysis in [Romani, ArXiv preprint 2023], where the case of a logarithmic kernel was considered.
Subjects: Analysis of PDEs (math.AP)
MSC classes: 35A15, 35J20, 35J60, 35B33
Cite as: arXiv:2404.15965 [math.AP]
  (or arXiv:2404.15965v1 [math.AP] for this version)

Submission history

From: Giulio Romani [view email]
[v1] Wed, 24 Apr 2024 16:35:49 GMT (19kb)

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